[BOOK][B] Nonlinear potential theory of degenerate elliptic equations
J Heinonen, T Kipelainen, O Martio - 2018 - books.google.com
A self-contained treatment appropriate for advanced undergraduate and graduate students,
this volume offers a detailed development of the necessary background for its survey of the …
this volume offers a detailed development of the necessary background for its survey of the …
[BOOK][B] Lectures on analysis on metric spaces
J Heinonen - 2001 - books.google.com
Analysis in spaces with no a priori smooth structure has progressed to include concepts from
the first order calculus. In particular, there have been important advances in understanding …
the first order calculus. In particular, there have been important advances in understanding …
[BOOK][B] Harmonic analysis techniques for second order elliptic boundary value problems
CE Kenig - 1994 - books.google.com
In recent years, there has been a great deal of activity in the study of boundary value
problems with minimal smoothness assumptions on the coefficients or on the boundary of …
problems with minimal smoothness assumptions on the coefficients or on the boundary of …
Estimates for operator norms on weighted spaces and reverse Jensen inequalities
SM Buckley - Transactions of the American Mathematical Society, 1993 - ams.org
We examine the dependence on the ${A_p} $ norm of $ w $ of the operator norms of
singular integrals, maximal functions, and other operators in ${L^ p}(w) $. We also examine …
singular integrals, maximal functions, and other operators in ${L^ p}(w) $. We also examine …
The Bellman functions and two-weight inequalities for Haar multipliers
We give necessary and sufficient conditions for two-weight norm inequalities for Haar
multiplier operators and for square functions. The conditions are of the type used by Eric …
multiplier operators and for square functions. The conditions are of the type used by Eric …
[BOOK][B] Sobolev spaces, their generalizations and elliptic problems in smooth and Lipschitz domains
MS Agranovich - 2015 - Springer
The first two chapters contain introductory courses. Chapter 1 presents the theory of Sobolev-
type spaces Hs (s∈ R) on Rn, on a smooth closed manifold, and on a smooth bounded …
type spaces Hs (s∈ R) on Rn, on a smooth closed manifold, and on a smooth bounded …
The Sharp Bound for the Hilbert Transform on Weighted Lebesgue Spaces in Terms of the Classical Characteristic
S Petermichl - American journal of mathematics, 2007 - JSTOR
The Sharp Bound for the Hilbert Transform on Weighted Lebesgue Spaces in Terms of the
Classical <tex-math>$ Page 1 THE SHARP BOUND FOR THE HILBERT TRANSFORM ON …
Classical <tex-math>$ Page 1 THE SHARP BOUND FOR THE HILBERT TRANSFORM ON …
Sharp weighted norm estimates beyond Calderón–Zygmund theory
F Bernicot, D Frey, S Petermichl - Analysis & PDE, 2016 - msp.org
We dominate nonintegral singular operators by adapted sparse operators and derive
optimal norm estimates in weighted spaces. Our assumptions on the operators are minimal …
optimal norm estimates in weighted spaces. Our assumptions on the operators are minimal …
Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
S Petermichl, A Volberg - 2002 - projecteuclid.org
We establish borderline regularity for solutions of the Beltrami equation f\sbz-μfz=0 on the
plane, where μ is a bounded measurable function, ∥μ∥\sb∞=k<1. What is the minimal …
plane, where μ is a bounded measurable function, ∥μ∥\sb∞=k<1. What is the minimal …
[PDF][PDF] The Neumann problem for elliptic equations with non-smooth coefficients
CE Kenig, J Pipher - Inventiones mathematicae, 1993 - researchgate.net
In this paper we study the Neumann and regularity problems for divergence form symmetric
elliptic operators L= div AV, where A=(aifiX)) is a matrix of bounded measurable functions …
elliptic operators L= div AV, where A=(aifiX)) is a matrix of bounded measurable functions …